Answer:

Step-by-step explanation:
GIVEN: A farmer has
of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one side of the pen. The length of the barn is
.
TO FIND: Determine the dimensions of the rectangle of maximum area that can be enclosed under these conditions.
SOLUTION:
Let the length of rectangle be
and
perimeter of rectangular pen 


area of rectangular pen 

putting value of 


to maximize 



but the dimensions must be lesser or equal to than that of barn.
therefore maximum length rectangular pen 
width of rectangular pen 
Maximum area of rectangular pen 
Hence maximum area of rectangular pen is
and dimensions are 
Answer:
225 necklaces.
Step-by-step explanation:
Assuming that they have the necessary amount of straws to match the beads then we can use the following simple equation to solve this problem.
t = b/12 ... where t is the total amount of necklaces and b is the number of beads you have
t = 2700 / 12
225 necklaces.
For 225 necklaces you would also need 1125 straws since each necklace requires 5 straws to be fully made. Therefore if you have this amount you should not run into any problems.
Answer:
1) Is 90° because that's what the little square in the corner means.
2) Is 60° because if you take everything to the right of the vertical line and add them up, and then subtract the total from 180° you can find the missing angle.
3) Is 30° because if you use what's below the horizontal line and do the same thing as number 4 (add the existing angles together and subtract the total from 180) you can find the missing angle.
4) Is 20° because if you add the existing angles together (40° + 90° + 30°), you'll get 160°, and since the diagonal line that's separating everything from 40° to 30° looks as though it equals 180°, you'd subtract 160° from 180° in order to get the missing angle.
5) Is also 90° because the angle across from it (1) looks to be around the same size.
I solved for each in the following order:
1, 5, 4, 3, 2.
I hope this helps. Also please let me know if I got something wrong or if you still need help :)
29 can not be broken down to an even number
Well there are no statements but the zero power law works like this :
ANYTHING raised to the zero power is 1
that is anything BUT zero itself because 0 to the power of 0vis still 0 and it makes no sense to write 0 to the power of zero.